Recurrence and Transience of Multidimensional Elephant Random Walks
- ๐ค Speaker: Shuo Qin (Beijing Institute of Mathematical Sciences and Applications)
- ๐ Date & Time: Monday 09 December 2024, 15:00 - 16:00
- ๐ Venue: Seminar Room 2, Newton Institute
Abstract
We prove a conjecture by Bertoin that the multidimensional elephant random walk on Z^d is transient in dimensions d ≥ 3. We show that it undergoes a phase transition in dimensions d = 1, 2 between recurrence and transience at p = (2d + 1)/(4d). We also generalize these results to the step-reinforced random walk under mild moments conditions.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Shuo Qin (Beijing Institute of Mathematical Sciences and Applications)
Monday 09 December 2024, 15:00-16:00